Berenstein, Carlos A.; Shahshahani, Mehrdad Harmonic analysis and the Pompeiu problem. (English) Zbl 0522.43006 Am. J. Math. 105, 1217-1229 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 12 Documents MSC: 43A85 Harmonic analysis on homogeneous spaces 43A22 Homomorphisms and multipliers of function spaces on groups, semigroups, etc. Keywords:Pompeiu problem; symmetric space of non-compact type; Radon transform; eigenvalue; over-determined Neumann problem PDFBibTeX XMLCite \textit{C. A. Berenstein} and \textit{M. Shahshahani}, Am. J. Math. 105, 1217--1229 (1983; Zbl 0522.43006) Full Text: DOI